TorusEvaluation

class ansys.geometry.core.shapes.surfaces.torus.TorusEvaluation(torus: Torus, parameter: ansys.geometry.core.shapes.parameterization.ParamUV)

Bases: ansys.geometry.core.shapes.surfaces.surface_evaluation.SurfaceEvaluation

Evaluate the torus`` at given parameters.

Parameters:

Torus: ~ansys.geometry.core.shapes.surfaces.torus.Torus

Torust to evaluate.

parameter: ParamUV

Parameters (u, v) to evaluate the torus at.

Overview

Methods

position	Position of the evaluation.
normal	Normal to the surface.
u_derivative	First derivative with respect to the U parameter.
v_derivative	First derivative with respect to the V parameter.
uu_derivative	Second derivative with respect to the U parameter.
uv_derivative	Second derivative with respect to the U and V parameters.
vv_derivative	Second derivative with respect to the V parameter.
curvature	Curvature of the torus.
min_curvature	Minimum curvature of the torus.
min_curvature_direction	Minimum curvature direction.
max_curvature	Maximum curvature of the torus.
max_curvature_direction	Maximum curvature direction.

Properties

torus	Torus being evaluated.
parameter	Parameter that the evaluation is based upon.

Import detail

from ansys.geometry.core.shapes.surfaces.torus import TorusEvaluation

Property detail

property TorusEvaluation.torus: Torus

Torus being evaluated.

property TorusEvaluation.parameter: ansys.geometry.core.shapes.parameterization.ParamUV

Parameter that the evaluation is based upon.

Method detail

TorusEvaluation.position() → ansys.geometry.core.math.point.Point3D

Position of the evaluation.

Returns:

Point3D

Point that lies on the torus at this evaluation.

TorusEvaluation.normal() → ansys.geometry.core.math.vector.UnitVector3D

Normal to the surface.

Returns:

UnitVector3D

Normal unit vector to the torus at this evaluation.

TorusEvaluation.u_derivative() → ansys.geometry.core.math.vector.Vector3D

First derivative with respect to the U parameter.

Returns:

Vector3D

First derivative with respect to the U parameter.

TorusEvaluation.v_derivative() → ansys.geometry.core.math.vector.Vector3D

First derivative with respect to the V parameter.

Returns:

Vector3D

First derivative with respect to the V parameter.

TorusEvaluation.uu_derivative() → ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the U parameter.

Returns:

Vector3D

Second derivative with respect to the U parameter.

TorusEvaluation.uv_derivative() → ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the U and V parameters.

Returns:

Vector3D

Second derivative with respect to the U and V parameters.

TorusEvaluation.vv_derivative() → ansys.geometry.core.math.vector.Vector3D

Second derivative with respect to the V parameter.

Returns:

Vector3D

Second derivative with respect to the V parameter.

TorusEvaluation.curvature() → beartype.typing.Tuple[ansys.geometry.core.typing.Real, ansys.geometry.core.math.vector.Vector3D, ansys.geometry.core.typing.Real, ansys.geometry.core.math.vector.Vector3D]

Curvature of the torus.

Returns:

Tuple[Real, Vector3D, Real, Vector3D]

Minimum and maximum curvature value and direction, respectively.

TorusEvaluation.min_curvature() → ansys.geometry.core.typing.Real

Minimum curvature of the torus.

Returns:

Real

Minimum curvature of the torus.

TorusEvaluation.min_curvature_direction() → ansys.geometry.core.math.vector.UnitVector3D

Minimum curvature direction.

Returns:

UnitVector3D

Minimum curvature direction.

TorusEvaluation.max_curvature() → ansys.geometry.core.typing.Real

Maximum curvature of the torus.

Returns:

Real

Maximum curvature of the torus.

TorusEvaluation.max_curvature_direction() → ansys.geometry.core.math.vector.UnitVector3D

Maximum curvature direction.

Returns:

UnitVector3D

Maximum curvature direction.